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5225410200 = 2335224136137
BaseRepresentation
bin1001101110111010…
…10110111010011000
3111111011112100020010
410313131112322120
541200201111300
62222302401520
7243330153033
oct46735267230
914434470203
105225410200
11224167602a
121019b902a0
136537719ca
14377dba01a
15208b2ea50
hex137756e98

5225410200 has 96 divisors (see below), whose sum is σ = 16266436560. Its totient is φ = 1387622400.

The previous prime is 5225410123. The next prime is 5225410219. The reversal of 5225410200 is 20145225.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 126532 + ... + 162668.

Almost surely, 25225410200 is an apocalyptic number.

5225410200 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5225410200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8133218280).

5225410200 is an abundant number, since it is smaller than the sum of its proper divisors (11041026360).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

5225410200 is a wasteful number, since it uses less digits than its factorization.

5225410200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36397 (or 36388 counting only the distinct ones).

The product of its (nonzero) digits is 800, while the sum is 21.

The square root of 5225410200 is about 72286.9988310485. The cubic root of 5225410200 is about 1735.2955892220.

Adding to 5225410200 its reverse (20145225), we get a palindrome (5245555425).

The spelling of 5225410200 in words is "five billion, two hundred twenty-five million, four hundred ten thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 75 100 120 150 200 241 300 482 600 723 964 1205 1446 1928 2410 2892 3615 4820 5784 6025 7230 9640 12050 14460 18075 24100 28920 36137 36150 48200 72274 72300 108411 144548 144600 180685 216822 289096 361370 433644 542055 722740 867288 903425 1084110 1445480 1806850 2168220 2710275 3613700 4336440 5420550 7227400 8709017 10841100 17418034 21682200 26127051 34836068 43545085 52254102 69672136 87090170 104508204 130635255 174180340 209016408 217725425 261270510 348360680 435450850 522541020 653176275 870901700 1045082040 1306352550 1741803400 2612705100 5225410200